"owl:Thing owl:equivalentClass owl:Nothing" is *inconsistent* in OWL-DL. In OWL-DL (as in FOL), the universe of the interpretation is always required to be a non-empty set. If there is no non-empty interpretations of an ontology, then the ontology is unsatisfiable (and hence inconsistent in proof-theoretic terms). As owl:Nothing is the complement of owl:Thing, you can reformulate the above axiom as: owl:Thing owl:equivalentClass complementOf(owl:Thing) which is obviously inconsistent in DL and FOL, being an example of "A <=> not A". Mehrdad OmidvariReceived on Thursday, 24 July 2003 05:46:47 GMT
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